IDEAS home Printed from https://ideas.repec.org/a/eee/ejores/v215y2011i1p89-96.html
   My bibliography  Save this article

Discrete-time, economic lot scheduling problem on multiple, non-identical production lines

Author

Listed:
  • Bollapragada, Ramesh
  • Croce, Federico Della
  • Ghirardi, Marco

Abstract

This paper deals with a general discrete time dynamic demand model to solve real time resource allocation and lot-sizing problems in a multimachine environment. In particular, the problem of apportioning item production to distinct manufacturing lines with different costs (production, setup and inventory) and capabilities is considered. Three models with different cost definitions are introduced, and a set of algorithms able to handle all the problems are developed. The computational results show that the best of the developed approaches is able to handle problems with up to 10000 binary variables outperforming general-purpose solvers and other randomized approaches. The gap between lower and upper bound procedures is within 1.0% after about 500 seconds of CPU time on a 2.66Â Ghz Intel Core2 PC.

Suggested Citation

  • Bollapragada, Ramesh & Croce, Federico Della & Ghirardi, Marco, 2011. "Discrete-time, economic lot scheduling problem on multiple, non-identical production lines," European Journal of Operational Research, Elsevier, vol. 215(1), pages 89-96, November.
    • Handle: RePEc:eee:ejores:v:215:y:2011:i:1:p:89-96
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0377221711005017
    Download Restriction: Full text for ScienceDirect subscribers only
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Jose Juan Carreno, 1990. "Economic Lot Scheduling for Multiple Products on Parallel Identical Processors," Management Science, INFORMS, vol. 36(3), pages 348-358, March.
    2. Gregory Dobson, 1987. "The Economic Lot-Scheduling Problem: Achieving Feasibility Using Time-Varying Lot Sizes," Operations Research, INFORMS, vol. 35(5), pages 764-771, October.
    3. Paul H. Zipkin, 1991. "Computing Optimal Lot Sizes in the Economic Lot Scheduling Problem," Operations Research, INFORMS, vol. 39(1), pages 56-63, February.
    4. Wen-Lian Hsu, 1983. "On the General Feasibility Test of Scheduling Lot Sizes for Several Products on One Machine," Management Science, INFORMS, vol. 29(1), pages 93-105, January.
    5. Ramesh Bollapragada & Uday Rao, 1999. "Single-Stage Resource Allocation and Economic Lot Scheduling on Multiple, Nonidentical Production Lines," Management Science, INFORMS, vol. 45(6), pages 889-904, June.
    6. HSU, Wen-Lian, 1983. "On the general feasibility test of scheduling lot sizes for several products on one machine," LIDAM Reprints CORE 515, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    7. W. L. Maxwell & H. Singh, 1986. "Scheduling Cyclic Production on Several Identical Machines," Operations Research, INFORMS, vol. 34(3), pages 460-463, June.
    8. Guillermo Gallego & Ilkyeong Moon, 1992. "The Effect of Externalizing Setups in the Economic Lot Scheduling Problem," Operations Research, INFORMS, vol. 40(3), pages 614-619, June.
    9. Drexl, A. & Kimms, A., 1997. "Lot sizing and scheduling -- Survey and extensions," European Journal of Operational Research, Elsevier, vol. 99(2), pages 221-235, June.
    10. Pesenti, Raffaele & Ukovich, Walter, 2003. "Economic lot scheduling on multiple production lines with resource constraints," International Journal of Production Economics, Elsevier, vol. 81(1), pages 469-481, January.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Ramesh Bollapragada & Uday Rao, 1999. "Single-Stage Resource Allocation and Economic Lot Scheduling on Multiple, Nonidentical Production Lines," Management Science, INFORMS, vol. 45(6), pages 889-904, June.
    2. Torabi, S.A. & Karimi, B. & Fatemi Ghomi, S.M.T., 2005. "The common cycle economic lot scheduling in flexible job shops: The finite horizon case," International Journal of Production Economics, Elsevier, vol. 97(1), pages 52-65, July.
    3. Pesenti, Raffaele & Ukovich, Walter, 2003. "Economic lot scheduling on multiple production lines with resource constraints," International Journal of Production Economics, Elsevier, vol. 81(1), pages 469-481, January.
    4. Khouja, Moutaz & Michalewicz, Zgibniew & Wilmot, Michael, 1998. "The use of genetic algorithms to solve the economic lot size scheduling problem," European Journal of Operational Research, Elsevier, vol. 110(3), pages 509-524, November.
    5. B.C. Giri & I. Moon & W.Y. Yun, 2003. "Scheduling economic lot sizes in deteriorating production systems," Naval Research Logistics (NRL), John Wiley & Sons, vol. 50(6), pages 650-661, September.
    6. Nazrul Shaikh & Vittal Prabhu & Danilo Abril & David Sánchez & Jorge Arias & Esteban Rodríguez & Germán Riaño, 2011. "Kimberly-Clark Latin America Builds an Optimization-Based System for Machine Scheduling," Interfaces, INFORMS, vol. 41(5), pages 455-465, October.
    7. Khouja, Moutaz, 1997. "The scheduling of economic lot sizes on volume flexible production systems," International Journal of Production Economics, Elsevier, vol. 48(1), pages 73-86, January.
    8. Garn, Wolfgang & Aitken, James, 2015. "Agile factorial production for a single manufacturing line with multiple products," European Journal of Operational Research, Elsevier, vol. 245(3), pages 754-766.
    9. Guillermo Gallego & Robin Roundy, 1992. "The economic lot scheduling problem with finite backorder costs," Naval Research Logistics (NRL), John Wiley & Sons, vol. 39(5), pages 729-739, August.
    10. Guillermo Gallego & Ilkyeong Moon, 1995. "Strategic investment to reduce setup times in the economic lot scheduling problem," Naval Research Logistics (NRL), John Wiley & Sons, vol. 42(5), pages 773-790, August.
    11. Tang, Loon Ching & Lee, Loo Hay, 2005. "A simple recovery strategy for economic lot scheduling problem: A two-product case," International Journal of Production Economics, Elsevier, vol. 98(1), pages 97-107, October.
    12. Holmbom, Martin & Segerstedt, Anders, 2014. "Economic Order Quantities in production: From Harris to Economic Lot Scheduling Problems," International Journal of Production Economics, Elsevier, vol. 155(C), pages 82-90.
    13. Carstensen, Peter, 1997. "Das Economic Lot Scheduling Problem: Überblick und LP-basiertes Verfahren," Manuskripte aus den Instituten für Betriebswirtschaftslehre der Universität Kiel 465, Christian-Albrechts-Universität zu Kiel, Institut für Betriebswirtschaftslehre.
    14. Briskorn, Dirk & Zeise, Philipp & Packowski, Josef, 2016. "Quasi-fixed cyclic production schemes for multiple products with stochastic demand," European Journal of Operational Research, Elsevier, vol. 252(1), pages 156-169.
    15. Daniel Adelman & Christiane Barz, 2014. "A Unifying Approximate Dynamic Programming Model for the Economic Lot Scheduling Problem," Mathematics of Operations Research, INFORMS, vol. 39(2), pages 374-402, May.
    16. Drexl, Andreas & Haase, Knut, 1992. "A new type of model for multi-item capacitated dynamic lotsizing and scheduling," Manuskripte aus den Instituten für Betriebswirtschaftslehre der Universität Kiel 286, Christian-Albrechts-Universität zu Kiel, Institut für Betriebswirtschaftslehre.
    17. Koulamas, Christos P., 1995. "Simultaneous determination of the cutting speed and lot size values in machining systems," European Journal of Operational Research, Elsevier, vol. 84(2), pages 356-370, July.
    18. Bruno, Giuseppe & Genovese, Andrea & Piccolo, Carmela, 2014. "The capacitated Lot Sizing model: A powerful tool for logistics decision making," International Journal of Production Economics, Elsevier, vol. 155(C), pages 380-390.
    19. Robinson, Powell & Narayanan, Arunachalam & Sahin, Funda, 2009. "Coordinated deterministic dynamic demand lot-sizing problem: A review of models and algorithms," Omega, Elsevier, vol. 37(1), pages 3-15, February.
    20. Vidal-Carreras, Pilar I. & Garcia-Sabater, Jose P. & Coronado-Hernandez, Jairo R., 2012. "Economic lot scheduling with deliberated and controlled coproduction," European Journal of Operational Research, Elsevier, vol. 219(2), pages 396-404.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:ejores:v:215:y:2011:i:1:p:89-96. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/locate/eor .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.